0534213 20240103224704.720201109235959.9 85092354516 000579163000001 10.1007/s00030-020-00653-9 26 s. E cav_un_epca*02579581021-972227Springer Poincaré–Birkhoff theorem Hamiltonian systems Periodic solutions cav_un_auth*0399017 Fonda A. IT cav_un_auth*0390416 Gidoni Paolo UTIA-B Matematická teorie rozhodování Department of Decision Making Theory MTR MTR IT Ústav teorie informace a automatizace AV ČR, v. v. i. http://library.utia.cas.cz/separaty/2020/MTR/gidoni-0534213.pdf https://link.springer.com/article/10.1007/s00030-020-00653-9 We provide an extension of the Poincaré–Birkhoff Theorem for systems coupling linear components with twisting components. Applications are given both to weakly coupled Hamiltonian systems where, e.g., a superlinear or sublinear behaviour is assumed in the nonlinear part of the coupling in order to recover the needed twist conditions, and to local perturbations of superintegrable systems, showing the survival of a number of periodic solutions from a lower-dimensional torus. WOS BA 10000 10100 10101 2021 2 RVO:67985556 http://hdl.handle.net/11104/0312473 1 S 55 1 Article Mathematics Applied C MATHEMATICS.APPLIED 1.715 0.211 7.1 0.00354 1.045 1245 49 1.368 30.47 1.16 275 Q1 1.241 57 Q3 79.518 45.1 Q1 Q1 0.69 Q3 45.094 2020 85092354516 SCOPUS PUBMED 000579163000001 WOS cav_un_epca*0257958 Nodea-Nonlinear Differential Equations and Applications 1021-9722 1420-9004 Roč. 27 č. 1 2020 Springer